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Master’s Programme 'Mathematics'
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HSE Campus in Nizhny Novgorod

Master’s Programme 'Mathematics'

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Academic Supervisor
Багаев Андрей Владимирович
Scientific Supervisor
Pochinka, Olga
Manager
Nikolaeva, Yulia
Contacts

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136 Rodionova St

Phone: +7 (831) 432 00 89

E-mail: avkovaleva@hse.ru

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Systems with regular dynamics

2024/2025
Academic Year
ENG
Instruction in English
6
ECTS credits
Delivered at:
Department of Fundamental Mathematics (Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod))
Course type:
Elective course
When:
2 year, 1, 2 module

Instructor


Gurevich, Elena

Course Syllabus

Full SyllabusAsk Question

Abstract

The course is intended for masters of the second year of study. It is aimed at studying qualitative theory of systems with regular dynamics.
Learning Objectives

Learning Objectives

  • The aim of the course is to give introduction to classical and modern problems of the qualitative theory of systems with regular dynamics
Expected Learning Outcomes

Expected Learning Outcomes

  • owns the terminology and basic facts of the section
Course Contents

Course Contents

  • Topology of manifolds and vector fields on manifolds.
  • Local analysis
  • Hyperbolic dynamics.
  • Morse-Smale Systems
Assessment Elements

Assessment Elements

  • non-blocking контрольная работа
  • non-blocking доклад
Interim Assessment

Interim Assessment

  • 2024/2025 2nd module
    0.4 * доклад + 0.3 * доклад + 0.3 * контрольная работа
Bibliography

Bibliography

Recommended Core Bibliography

  • • R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Benjamin/Cum-. (2015). Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsbas&AN=edsbas.20873EF4
  • Dynamical Systems on 2- and 3-Manifolds, XXVI, 295 p., Grines, V. Z., Medvedev, T. V., Pochinka, O. V., 2016
  • Grines V., Medvedev Timur, Pochinka O. Dynamical Systems on 2- and 3-Manifolds. Switzerland : Springer, 2016.
  • Katok, A. B., & Hasselblatt, B. (2002). Handbook of Dynamical Systems (Vol. 1st ed). Amsterdam: North Holland. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=207259
  • Геометрическая теория динамических систем : введение : вводные курсы, Палис, Ж., 1986

Recommended Additional Bibliography

  • Introduction to the Modern Theory of Dynamical Systems, With a supplement by Anatole Katok and Leonardo Mendoza, XVIII, 802 p., Katok, A., Hasselblatt, B., 1996

Authors

  • Gurevich Elena Iakovlevna
HSE Campus in Nizhny Novgorod → Master's programmes → Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod) → Master's programme in Mathematics → Courses → Systems with regular dynamics, 2024/25 Academic year
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